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Simplifying 5 + -3(x + 2) = 2x + 7 + -1(x + -2) Reorder the terms: 5 + -3(2 + x) = 2x + 7 + -1(x + -2) 5 + (2 * -3 + x * -3) = 2x + 7 + -1(x + -2) 5 + (-6 + -3x) = 2x + 7 + -1(x + -2) Combine like terms: 5 + -6 = -1 -1 + -3x = 2x + 7 + -1(x + -2) Reorder the terms: -1 + -3x = 2x + 7 + -1(-2 + x) -1 + -3x = 2x + 7 + (-2 * -1 + x * -1) -1 + -3x = 2x + 7 + (2 + -1x) Reorder the terms: -1 + -3x = 7 + 2 + 2x + -1x Combine like terms: 7 + 2 = 9 -1 + -3x = 9 + 2x + -1x Combine like terms: 2x + -1x = 1x -1 + -3x = 9 + 1x Solving -1 + -3x = 9 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -1 + -3x + -1x = 9 + 1x + -1x Combine like terms: -3x + -1x = -4x -1 + -4x = 9 + 1x + -1x Combine like terms: 1x + -1x = 0 -1 + -4x = 9 + 0 -1 + -4x = 9 Add '1' to each side of the equation. -1 + 1 + -4x = 9 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = 9 + 1 -4x = 9 + 1 Combine like terms: 9 + 1 = 10 -4x = 10 Divide each side by '-4'. x = -2.5 Simplifying x = -2.5
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